Question

1. the formula ( v=\frac{1}{3}pi r^{2}h ) is valid for which shape?

a. cylinder
b. sphere
c. cone
d. rectangular prism

Explanation:

Step1: Recall volume formulas

Volume of cylinder: $V=\pi r^{2}h$.
Volume of sphere: $V = \frac{4}{3}\pi r^{3}$.
Volume of cone: $V=\frac{1}{3}\pi r^{2}h$.
Volume of rectangular prism: $V = l\times w\times h$ (where $l$ - length, $w$ - width, $h$ - height).

Step2: Match the formula

Given formula $V=\frac{1}{3}\pi r^{2}h$ matches the volume formula of a cone.

Answer:

C. Cone